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Quiver representations [electronic resource]

Quiver representations [electronic resource]

자료유형
E-Book(소장)
개인저자
Schiffler, Ralf.
서명 / 저자사항
Quiver representations [electronic resource] / Ralf Schiffler.
발행사항
Cham :   Springer International Publishing :   Imprint: Springer,   2014.  
형태사항
1 online resource (xi, 230 p.) : ill.
총서사항
CMS books in mathematics,1613-5237
ISBN
9783319092041
요약
This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The text has two parts. In Part I, the theory is studied in an elementary way using quivers and their representations. This is a very hands-on approach and requires only basic knowledge of linear algebra. The main tool for describing the representation theory of a finite-dimensional algebra is its Auslander-Reiten quiver, and the text introduces these quivers as early as possible. Part II then uses the language of algebras and modules to build on the material developed before. The equivalence of the two approaches is proved in the text. The last chapter gives a proof of Gabriel’s Theorem. The language of category theory is developed along the way as needed.
일반주기
Title from e-Book title page.  
내용주기
Part I: Quivers and their representations -- Representations of quivers -- Projective and injective representations -- Examples of Auslander-Reiten quivers -- Part II: Path algebras -- Algebras and modules -- Bound quiver algebras -- New algebras from old -- Auslander-Reiten theory -- Quadratic forms and Gabriel’s theorem.
서지주기
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Representations of algebras.
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020 ▼a 9783319092041
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050 4 ▼a QA150-272
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084 ▼a 512.2 ▼2 DDCK
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100 1 ▼a Schiffler, Ralf.
245 1 0 ▼a Quiver representations ▼h [electronic resource] / ▼c Ralf Schiffler.
260 ▼a Cham : ▼b Springer International Publishing : ▼b Imprint: Springer, ▼c 2014.
300 ▼a 1 online resource (xi, 230 p.) : ▼b ill.
490 1 ▼a CMS books in mathematics, ▼x 1613-5237
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
505 0 ▼a Part I: Quivers and their representations -- Representations of quivers -- Projective and injective representations -- Examples of Auslander-Reiten quivers -- Part II: Path algebras -- Algebras and modules -- Bound quiver algebras -- New algebras from old -- Auslander-Reiten theory -- Quadratic forms and Gabriel’s theorem.
520 ▼a This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The text has two parts. In Part I, the theory is studied in an elementary way using quivers and their representations. This is a very hands-on approach and requires only basic knowledge of linear algebra. The main tool for describing the representation theory of a finite-dimensional algebra is its Auslander-Reiten quiver, and the text introduces these quivers as early as possible. Part II then uses the language of algebras and modules to build on the material developed before. The equivalence of the two approaches is proved in the text. The last chapter gives a proof of Gabriel’s Theorem. The language of category theory is developed along the way as needed.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Representations of algebras.
830 0 ▼a CMS books in mathematics.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-3-319-09204-1
945 ▼a KLPA
991 ▼a E-Book(소장)

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 중앙도서관/e-Book 컬렉션/ 청구기호 CR 512.2 등록번호 E14032805 도서상태 대출불가(열람가능) 반납예정일 예약 서비스 M

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